The proof of Proposition REF  is nearly identical to the proof of Theorem 1.1 from [1]}. We will briefly remark on the differences between the two theorems. First, in [1]}, the authors set \(K_3=K_4,\)  and they did not track the explicit dependence on \(K_1\)  and \(K_2\) . Note that when \(\alpha =1/2\) , \(K_1\sim K_2\sim 1\)  and \(K_3=K_4=K\) , then (REF ) asserts that \(K\gtrsim \delta ^{-1/128+\varepsilon }\) ; this recovers the result from [1]}, with the improvement observed by Victor Lie.
